Conic Sections Question 468

Question: The centre of the ellipse $ \frac{{{(x+y-2)}^{2}}}{9}+\frac{{{(x-y)}^{2}}}{16}=1 $ is

[EAMCET 1994]

Options:

A) (0, 0)

B) (1, 1)

C) (1, 0)

D) (0, 1)

Show Answer

Answer:

Correct Answer: B

Solution:

The centre of the given ellipse is the point of intersection of the lines $ x+y-2=0 $ and $ x-y=0 $ i.e.,(1,1).